
Time bar (total: 10.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 8 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 9 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 10 |
| 66.7% | 49.9% | 25% | 0.2% | 0% | 25% | 0% | 11 |
| 80% | 49.9% | 12.5% | 0.2% | 0% | 37.4% | 0% | 12 |
Compiled 19 to 17 computations (10.5% saved)
| 1.4s | 8 256× | 0 | valid |
| 381.0ms | 2 020× | 0 | invalid |
ival-mult: 653.0ms (50.2% of total)ival-sqrt: 199.0ms (15.3% of total)ival-sub: 197.0ms (15.1% of total)ival-exp: 146.0ms (11.2% of total)ival-div: 80.0ms (6.1% of total)exact: 12.0ms (0.9% of total)ival-true: 10.0ms (0.8% of total)ival-assert: 5.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 1 | 0 | - | 0 | - | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 0 | 0 | - | 0 | - | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 1/2 binary64)) |
| 0 | 0 | - | 0 | - | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (*.f64 t t) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 z #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
exp.f64 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 356.0ms | 512× | 0 | valid |
Compiled 145 to 49 computations (66.2% saved)
ival-mult: 139.0ms (90% of total)ival-div: 4.0ms (2.6% of total)ival-exp: 4.0ms (2.6% of total)ival-sqrt: 4.0ms (2.6% of total)ival-sub: 3.0ms (1.9% of total)ival-true: 1.0ms (0.6% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 234 |
| 1 | 198 | 230 |
| 2 | 624 | 230 |
| 3 | 1954 | 230 |
| 4 | 6120 | 230 |
| 0 | 15 | 17 |
| 0 | 24 | 16 |
| 1 | 43 | 16 |
| 2 | 100 | 16 |
| 3 | 271 | 16 |
| 4 | 743 | 16 |
| 5 | 3721 | 16 |
| 0 | 8879 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(abs t)
Compiled 17 to 15 computations (11.8% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
Compiled 17 to 15 computations (11.8% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| cost-diff | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 62 |
| 0 | 24 | 60 |
| 1 | 43 | 60 |
| 2 | 100 | 60 |
| 3 | 271 | 60 |
| 4 | 743 | 60 |
| 5 | 3721 | 60 |
| 0 | 8879 | 60 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (exp.f64 t)) t) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) | |
| accuracy | 0.028422360958102494 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | |
| accuracy | 0.19921875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 144.0ms | 256× | 0 | valid |
Compiled 64 to 17 computations (73.4% saved)
ival-sub: 85.0ms (86.7% of total)ival-mult: 7.0ms (7.1% of total)ival-div: 2.0ms (2% of total)ival-exp: 2.0ms (2% of total)ival-sqrt: 2.0ms (2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(+ (* -1 y) (* 1/2 x)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* 1/2 (pow t 2)) |
(exp (* 1/2 (pow t 2))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | 0 | ((exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (/ (* t t) 2) (sqrt (* z 2))) |
| 2.0ms | z | @ | -inf | ((exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (/ (* t t) 2) (sqrt (* z 2))) |
| 2.0ms | x | @ | -inf | ((exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (/ (* t t) 2) (sqrt (* z 2))) |
| 2.0ms | x | @ | 0 | ((exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (/ (* t t) 2) (sqrt (* z 2))) |
| 2.0ms | z | @ | inf | ((exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (/ (* t t) 2) (sqrt (* z 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 136 | 657 |
| 1 | 508 | 641 |
| 2 | 2030 | 527 |
| 3 | 6618 | 527 |
| 0 | 8088 | 510 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(+ (* -1 y) (* 1/2 x)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* 1/2 (pow t 2)) |
(exp (* 1/2 (pow t 2))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 y) |
(neg.f64 y) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 y x))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)))) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 y x))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)))) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) y) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 z))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 47 |
| 0 | 24 | 45 |
| 1 | 65 | 44 |
| 2 | 309 | 44 |
| 0 | 2713 | 44 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Outputs |
|---|
(*.f64 (pow.f64 (exp.f64 t) (/.f64 (/.f64 t #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 t) (/.f64 (/.f64 t #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/4 binary64))) |
(pow.f64 (exp.f64 (/.f64 t #s(literal 2 binary64))) t) |
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 (neg.f64 t) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 t)) (/.f64 t #s(literal -2 binary64))) |
(pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 t) (/.f64 t #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (sinh.f64 (*.f64 t t)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 (cosh.f64 (*.f64 t t)) #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))) (*.f64 (sqrt.f64 (fma.f64 (cosh.f64 (*.f64 t t)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (sqrt.f64 (fma.f64 (cosh.f64 (*.f64 t t)) #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 t t)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (cosh.f64 (*.f64 t t)) #s(literal 2 binary64) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 3 binary64))) (fma.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)) (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))) |
(-.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (sinh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 t)) (/.f64 t #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 t) t)) #s(literal 1/2 binary64))) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64))))) |
(+.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) |
(+.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 y (-.f64 y (*.f64 #s(literal 1/2 binary64) x))))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))) |
(*.f64 (/.f64 (*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 4 binary64)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t)))) |
(*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (exp.f64 t) t))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (sqrt.f64 z) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 z) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (/.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x y))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64))))) |
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 z #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) x (neg.f64 y))) |
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(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) |
(fma.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) |
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) |
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (/.f64 (*.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) |
(fma.f64 x (/.f64 (*.f64 #s(literal 1/4 binary64) x) (fma.f64 #s(literal 1/2 binary64) x y)) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) |
(-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x y))) (*.f64 y (/.f64 y (fma.f64 #s(literal 1/2 binary64) x y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) y)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(+.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) x) (/.f64 x (fma.f64 #s(literal 1/2 binary64) x y))) (/.f64 (*.f64 (neg.f64 y) y) (fma.f64 #s(literal 1/2 binary64) x y))) |
(*.f64 (/.f64 t #s(literal -2 binary64)) (neg.f64 t)) |
(*.f64 (/.f64 t #s(literal 2 binary64)) t) |
(*.f64 (neg.f64 t) (/.f64 t #s(literal -2 binary64))) |
(*.f64 t (/.f64 t #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 t) t) #s(literal -2 binary64)) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(neg.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(pow.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
Compiled 7 116 to 792 computations (88.9% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 200 | 13 | 213 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 201 | 13 | 214 |
| Status | Accuracy | Program |
|---|---|---|
| 73.2% | (*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 39.3% | (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 y y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 99.6% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| ▶ | 99.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
| 95.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ▶ | 92.4% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 85.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ▶ | 59.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 56.0% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| ▶ | 65.2% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| ▶ | 93.9% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 85.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))) | |
| 66.5% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) y)) |
Compiled 754 to 574 computations (23.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| cost-diff | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | |
| cost-diff | 1 | (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)))) | |
| cost-diff | 2 | (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)) | |
| cost-diff | 0 | (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| cost-diff | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| cost-diff | 1 | (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 445 |
| 0 | 82 | 439 |
| 1 | 149 | 425 |
| 2 | 414 | 425 |
| 3 | 1340 | 425 |
| 4 | 3612 | 422 |
| 0 | 8196 | 422 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
x |
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)))) |
(neg.f64 x) |
x |
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) |
(sqrt.f64 z) |
z |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)) |
#s(literal -1/2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) y) |
y |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(pow.f64 (sqrt.f64 (exp.f64 t)) t) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(*.f64 t t) |
t |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 t)) t) #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) x) #s(literal 1/2 binary64)) |
x |
(*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) |
(sqrt.f64 z) |
z |
#s(literal 1/2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (exp.f64 t)) t) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 (exp.f64 t)) t)) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (*.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) x) (-.f64 #s(literal 1/2 binary64) (/.f64 y x))) (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 x) |
x |
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) |
(*.f64 (*.f64 (-.f64 (/.f64 y x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)) |
(*.f64 (-.f64 (/.f64 y x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) |
#s(literal -1/2 binary64) |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) y) |
y |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (exp.f64 t)) t) |
(/.f64 (*.f64 t t) #s(literal 2 binary64)) |
(*.f64 t t) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19921875 | (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) | |
| accuracy | 0.39453125 | (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) | |
| accuracy | 1.3084171068630863 | (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) | |
| accuracy | 6.524576403613402 | (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)))) | |
| accuracy | 0.028422360958102494 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) | |
| accuracy | 0.22265625 | (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) | |
| accuracy | 0.39099506837909404 | (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 28.670106146521473 | #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.07421875 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) | |
| accuracy | 0.19921875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 8.008491825513648 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 x #s(literal 1/2 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.19921875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 29.39032529367276 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0.0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.00390625 | (*.f64 (*.f64 t t) #s(literal 1/2 binary64)) | |
| accuracy | 0.028422360958102494 | (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) | |
| accuracy | 0.19921875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 103.0ms | 256× | 0 | valid |
Compiled 371 to 39 computations (89.5% saved)
ival-mult: 51.0ms (72.9% of total)ival-sqrt: 5.0ms (7.1% of total)ival-exp: 4.0ms (5.7% of total)ival-div: 3.0ms (4.3% of total)ival-add: 3.0ms (4.3% of total)ival-sub: 1.0ms (1.4% of total)exact: 1.0ms (1.4% of total)ival-neg: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) y) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(/ (* y (sqrt 2)) x) |
(/ (+ (* -1/2 (* x (sqrt 2))) (* y (sqrt 2))) x) |
(* 1/2 (* x (sqrt z))) |
(* (/ (* y (sqrt 2)) x) (sqrt z)) |
(/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt z))) (* (* y (sqrt 2)) (sqrt z))) x) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* -1/2 (sqrt 2)) |
(+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)) |
(* -1/2 (* (sqrt z) (sqrt 2))) |
(+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(+ (* -1 y) (* 1/2 x)) |
(* y (sqrt 2)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x))) |
(* y (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) |
(* -1 (* y (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))) (sqrt z))) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(* (* x (* (pow (sqrt -1) 2) (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) (sqrt z)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* 1/2 (pow t 2)) |
(exp (* 1/2 (pow t 2))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | t | @ | inf | ((exp (* (* t t) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x)) (* (neg x) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x)))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* t t) 1/2) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* x (* (sqrt z) 1/2)) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x))) (* (sqrt 2) y) (/ (* (sqrt 2) y) x)) |
| 11.0ms | y | @ | -inf | ((exp (* (* t t) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x)) (* (neg x) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x)))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* t t) 1/2) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* x (* (sqrt z) 1/2)) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x))) (* (sqrt 2) y) (/ (* (sqrt 2) y) x)) |
| 10.0ms | z | @ | -inf | ((exp (* (* t t) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x)) (* (neg x) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x)))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* t t) 1/2) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* x (* (sqrt z) 1/2)) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x))) (* (sqrt 2) y) (/ (* (sqrt 2) y) x)) |
| 10.0ms | x | @ | inf | ((exp (* (* t t) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x)) (* (neg x) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x)))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* t t) 1/2) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* x (* (sqrt z) 1/2)) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x))) (* (sqrt 2) y) (/ (* (sqrt 2) y) x)) |
| 7.0ms | z | @ | 0 | ((exp (* (* t t) 1/2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (* (* t t) 1/2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (exp (/ (* t t) 2)) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* x (* (sqrt z) 1/2)) (sqrt 2)) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x)) (* (neg x) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x)))) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (* t t) 1/2) (sqrt (* z 2)) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* x (* (sqrt z) 1/2)) (* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x))) (* (sqrt 2) y) (/ (* (sqrt 2) y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 194 | 939 |
| 1 | 726 | 887 |
| 2 | 2928 | 753 |
| 3 | 7573 | 753 |
| 0 | 9130 | 729 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(/ (* y (sqrt 2)) x) |
(/ (+ (* -1/2 (* x (sqrt 2))) (* y (sqrt 2))) x) |
(* 1/2 (* x (sqrt z))) |
(* (/ (* y (sqrt 2)) x) (sqrt z)) |
(/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt z))) (* (* y (sqrt 2)) (sqrt z))) x) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* -1/2 (sqrt 2)) |
(+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)) |
(* -1/2 (* (sqrt z) (sqrt 2))) |
(+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(+ (* -1 y) (* 1/2 x)) |
(* y (sqrt 2)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x))) |
(* y (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) |
(* -1 (* y (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* -1 (* (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))) (sqrt z))) |
(* (sqrt z) (sqrt 2)) |
(* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(* (* x (* (pow (sqrt -1) 2) (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) (sqrt z)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt z))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(* 1/2 (pow t 2)) |
(exp (* 1/2 (pow t 2))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 y) |
(neg.f64 y) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) |
(/ (* y (sqrt 2)) x) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) |
(/ (+ (* -1/2 (* x (sqrt 2))) (* y (sqrt 2))) x) |
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (fma.f64 #s(literal -1/2 binary64) x y)) |
(* 1/2 (* x (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) |
(* (/ (* y (sqrt 2)) x) (sqrt z)) |
(*.f64 (*.f64 (sqrt.f64 z) y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(/ (+ (* -1/2 (* (* x (sqrt 2)) (sqrt z))) (* (* y (sqrt 2)) (sqrt z))) x) |
(*.f64 (/.f64 (sqrt.f64 z) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x y))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 y x)))) x) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* -1/2 (sqrt 2)) |
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) |
(* -1/2 (* (sqrt z) (sqrt 2))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z)) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 y x)))) x) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z))) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* y (sqrt 2)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) y) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) |
(* y (+ (* -1/2 (/ (sqrt 2) y)) (/ (sqrt 2) x))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) |
(* y (+ (* -1/2 (* (/ (sqrt 2) y) (sqrt z))) (* (/ (sqrt 2) x) (sqrt z)))) |
(*.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* -1 (* y (+ (* -1 (/ (sqrt 2) x)) (* 1/2 (/ (sqrt 2) y))))) |
(*.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) y) |
(* -1 (* y (+ (* -1 (* (/ (sqrt 2) x) (sqrt z))) (* 1/2 (* (/ (sqrt 2) y) (sqrt z)))))) |
(*.f64 (*.f64 (sqrt.f64 z) y) (fma.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) y) #s(literal -1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 (* (* x (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))) (sqrt z))) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* (sqrt z) (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z))) |
(* -1/2 (* (* x (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) (sqrt.f64 #s(literal 2 binary64))) |
(* (* x (* (pow (sqrt -1) 2) (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x)))) (sqrt z)) |
(*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) |
(* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt z))) |
(*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) x) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (+ (* -1/2 (sqrt 2)) (/ (* y (sqrt 2)) x))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))) |
(* 1/2 (pow t 2)) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(* 1/8 (pow t 4)) |
(*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64)) (pow.f64 t #s(literal 4 binary64))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64)) (pow.f64 t #s(literal 4 binary64)) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 286 |
| 0 | 82 | 280 |
| 1 | 211 | 266 |
| 2 | 1156 | 262 |
| 0 | 8563 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 t t) #s(literal 1/2 binary64)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) y) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 t t) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 t) (/.f64 (/.f64 t #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 (exp.f64 t) (/.f64 (/.f64 t #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 t) (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64))) (pow.f64 (exp.f64 t) (/.f64 (*.f64 #s(literal 1/2 binary64) t) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64)))) (fabs.f64 (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64))) (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64)))) |
(pow.f64 (exp.f64 (/.f64 t #s(literal 2 binary64))) t) |
(pow.f64 (exp.f64 (*.f64 (neg.f64 t) #s(literal 1/2 binary64))) (neg.f64 t)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) t)) t) |
(pow.f64 (*.f64 (pow.f64 (exp.f64 t) t) (pow.f64 (exp.f64 t) t)) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (neg.f64 t)) (neg.f64 t)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) t) t) |
(pow.f64 (pow.f64 (exp.f64 t) #s(literal 1/2 binary64)) t) |
(pow.f64 (pow.f64 (exp.f64 t) (*.f64 t #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (neg.f64 t)) (/.f64 t #s(literal -2 binary64))) |
(pow.f64 (exp.f64 (neg.f64 t)) (*.f64 (neg.f64 t) #s(literal 1/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 t t)) |
(pow.f64 (exp.f64 t) (/.f64 t #s(literal 2 binary64))) |
(pow.f64 (exp.f64 t) (*.f64 #s(literal 1/2 binary64) t)) |
(pow.f64 (pow.f64 (exp.f64 t) t) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))))) |
(/.f64 (fma.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))))) |
(/.f64 (fma.f64 (sinh.f64 (*.f64 t t)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (fma.f64 (cosh.f64 (*.f64 t t)) #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))) (*.f64 (sqrt.f64 (fma.f64 (cosh.f64 (*.f64 t t)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (sqrt.f64 (fma.f64 (cosh.f64 (*.f64 t t)) #s(literal 2 binary64) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 (*.f64 t t)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (cosh.f64 (*.f64 t t)) #s(literal 2 binary64) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (neg.f64 t) t))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(-.f64 (/.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)) (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (/.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 2 binary64)) (exp.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))) |
(-.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (sinh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/2 binary64))) (*.f64 t t))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 t)) (/.f64 t #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 t)) (*.f64 #s(literal 1/2 binary64) t))) |
(exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 t t))) |
(+.f64 (/.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))))) (/.f64 (pow.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (-.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))))))) |
(+.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(+.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 (pow.f64 (exp.f64 t) t) (*.f64 #s(literal 2 binary64) z)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (*.f64 (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) (-.f64 (*.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))) (-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64)))) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(literal 3 binary64))) (fma.f64 (*.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (-.f64 (*.f64 (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)))) (*.f64 (*.f64 (cosh.f64 (/.f64 (*.f64 t t) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) (*.f64 (sinh.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))))))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 z) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))) (+.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sqrt.f64 z))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (sqrt.f64 z))) (neg.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (-.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (sqrt.f64 z) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal -1/2 binary64) (/.f64 y x))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64)))) (sqrt.f64 z)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (sqrt.f64 z) (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 (*.f64 (sqrt.f64 z) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 y x) #s(literal 3 binary64))))) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(/.f64 (fma.f64 (pow.f64 (sqrt.f64 z) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) |
(fma.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x))) |
(fma.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x))) |
(fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) |
(fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 y x) (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) |
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x))) |
(fma.f64 (sqrt.f64 z) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 z) (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) |
(fma.f64 (sqrt.f64 z) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x))) |
(fma.f64 (sqrt.f64 z) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -1/2 binary64) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) |
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x))) |
(-.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal -1/2 binary64) (/.f64 y x)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 #s(literal -1/2 binary64) (/.f64 y x))))) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (*.f64 (neg.f64 (*.f64 (sqrt.f64 z) #s(literal -1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 z))) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)))) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 y x) (sqrt.f64 z)))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (/.f64 y x))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 z)) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 z))) |
(+.f64 (*.f64 (sqrt.f64 z) (/.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 z) (/.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (sqrt.f64 z) #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64))) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 z)) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))))) |
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (neg.f64 (neg.f64 (sqrt.f64 z))) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) y) |
(*.f64 (neg.f64 (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 y)) |
(*.f64 (neg.f64 y) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 (neg.f64 y))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) y) |
(*.f64 y (neg.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) |
(*.f64 y (sqrt.f64 #s(literal 2 binary64))) |
(neg.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (/.f64 y x) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 y x)) |
(*.f64 y (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)) |
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 x)) |
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) |
(neg.f64 (*.f64 (neg.f64 y) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x))) |
Compiled 28 443 to 2 375 computations (91.6% saved)
26 alts after pruning (24 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 614 | 21 | 635 |
| Fresh | 5 | 3 | 8 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 622 | 26 | 648 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| ▶ | 92.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
| 23.0% | (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ▶ | 42.9% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 59.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ✓ | 99.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
| ▶ | 95.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 92.4% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) | |
| ▶ | 85.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| ✓ | 59.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 92.2% | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 59.5% | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 92.3% | (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 59.6% | (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 58.5% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 60.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 56.0% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| 51.2% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ▶ | 29.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 92.8% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 94.0% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (neg.f64 x)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 51.2% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 29.8% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 59.4% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 46.3% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| 85.6% | #s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))) |
Compiled 1 446 to 1 149 computations (20.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 2 | (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 463 |
| 0 | 76 | 444 |
| 1 | 151 | 444 |
| 2 | 395 | 444 |
| 3 | 1312 | 444 |
| 4 | 3930 | 444 |
| 5 | 7738 | 444 |
| 0 | 8228 | 444 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
#s(literal 1/2 binary64) |
y |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(literal 1/4 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 z #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 t t) |
t |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) z) z) #s(literal 1/4 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) z) z) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) x) |
x |
#s(literal 1/2 binary64) |
y |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 4 binary64) z) z) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) |
(*.f64 (*.f64 #s(literal 4 binary64) z) z) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
#s(literal 1/4 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) z) | |
| accuracy | 0.19921875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) | |
| accuracy | 29.39032529367276 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 31.586219673543194 | (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| accuracy | 0.07421875 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) | |
| accuracy | 0.125 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| accuracy | 8.008491825513648 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (*.f64 t t) | |
| accuracy | 0.0 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) | |
| accuracy | 0.19921875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 15.388457639180992 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (neg.f64 y) | |
| accuracy | 0.19921875 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 29.39032529367276 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 33.73791051328177 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| accuracy | 0.033535009768442016 | (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) | |
| accuracy | 0.09375 | (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) | |
| accuracy | 0.19921875 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 5.198571931707084 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
| 91.0ms | 256× | 0 | valid |
Compiled 374 to 42 computations (88.8% saved)
ival-mult: 25.0ms (44.2% of total)ival-add: 11.0ms (19.5% of total)ival-pow: 6.0ms (10.6% of total)const: 4.0ms (7.1% of total)ival-sqrt: 3.0ms (5.3% of total)ival-div: 2.0ms (3.5% of total)ival-exp: 2.0ms (3.5% of total)ival-sub: 1.0ms (1.8% of total)exact: 1.0ms (1.8% of total)ival-neg: 1.0ms (1.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 t t) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -1 (* (pow 4 1/4) (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))) |
(+ (* -1 (* (pow 4 1/4) (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (* x (exp (* 1/2 (pow t 2)))) (sqrt z))))) |
(* -1 (* (pow 4 1/4) (* y (sqrt z)))) |
(+ (* -1 (* (pow 4 1/4) (* y (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* x (sqrt z))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* (pow 4 1/4) (* (* x (exp (* 1/2 (pow t 2)))) (sqrt z)))) |
(* x (+ (* -1 (* (pow 4 1/4) (* (/ (* y (exp (* 1/2 (pow t 2)))) x) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))))) |
(* 1/2 (* (pow 4 1/4) (* x (sqrt z)))) |
(* x (+ (* -1 (* (pow 4 1/4) (* (/ y x) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (+ (* -1/2 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))) (* (pow 4 1/4) (* (/ (* y (exp (* 1/2 (pow t 2)))) x) (sqrt z)))))) |
(* -1 (* x (+ (* -1/2 (* (pow 4 1/4) (sqrt z))) (* (pow 4 1/4) (* (/ y x) (sqrt z)))))) |
(+ (* -1 y) (* 1/2 x)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))) (* 1/2 (* (pow 4 1/4) (* (/ (* x (exp (* 1/2 (pow t 2)))) y) (sqrt z)))))) |
(* y (+ (* -1 (* (pow 4 1/4) (sqrt z))) (* 1/2 (* (pow 4 1/4) (* (/ x y) (sqrt z)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (* (pow 4 1/4) (* (/ (* x (exp (* 1/2 (pow t 2)))) y) (sqrt z)))) (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))))) |
(* -1 (* y (+ (* -1/2 (* (pow 4 1/4) (* (/ x y) (sqrt z)))) (* (pow 4 1/4) (sqrt z))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* 4 (pow z 2)) |
(* (pow 4 1/4) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) |
(* (sqrt z) (sqrt 2)) |
(* (pow 4 1/4) (sqrt z)) |
(* 2 z) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1))))) |
(* -1 (* (pow 4 1/4) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (pow 4 1/4) (* (sqrt z) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (pow 4 1/4) (* (sqrt z) (sqrt -1)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))))) |
(+ (* 1/2 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))) |
(+ (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))))))) |
(+ (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* 1/8 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))))))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
1/2 |
(+ 1/2 (* 1/8 (pow t 2))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(pow t 2) |
(exp (* 1/2 (pow t 2))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* 1/48 (pow t 4)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 73.0ms | z | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* 2 z) (* 2 z)) (* (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* t t) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (pow (* (* 2 z) (* 2 z)) 1/4) (* 2 z)) |
| 45.0ms | t | @ | inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* 2 z) (* 2 z)) (* (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* t t) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (pow (* (* 2 z) (* 2 z)) 1/4) (* 2 z)) |
| 20.0ms | x | @ | 0 | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* 2 z) (* 2 z)) (* (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* t t) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (pow (* (* 2 z) (* 2 z)) 1/4) (* 2 z)) |
| 10.0ms | z | @ | -inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* 2 z) (* 2 z)) (* (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* t t) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (pow (* (* 2 z) (* 2 z)) 1/4) (* 2 z)) |
| 9.0ms | z | @ | inf | ((* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* x 1/2) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* 2 z) (* 2 z)) (* (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (pow (* (* 2 z) (* 2 z)) 1/4)) (exp (/ (* t t) 2)) (+ (* 1/48 (* t t)) 1/8) (+ (* (+ (* 1/48 (* t t)) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (exp (/ (* t t) 2)) (sqrt (* z 2)) (* t t) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (pow (* (* 2 z) (* 2 z)) 1/4) (* 2 z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 272 | 1486 |
| 1 | 1026 | 1467 |
| 2 | 4167 | 1327 |
| 0 | 8814 | 1292 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -1 (* (pow 4 1/4) (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))) |
(+ (* -1 (* (pow 4 1/4) (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (* x (exp (* 1/2 (pow t 2)))) (sqrt z))))) |
(* -1 (* (pow 4 1/4) (* y (sqrt z)))) |
(+ (* -1 (* (pow 4 1/4) (* y (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* x (sqrt z))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* (pow 4 1/4) (* (* x (exp (* 1/2 (pow t 2)))) (sqrt z)))) |
(* x (+ (* -1 (* (pow 4 1/4) (* (/ (* y (exp (* 1/2 (pow t 2)))) x) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))))) |
(* 1/2 (* (pow 4 1/4) (* x (sqrt z)))) |
(* x (+ (* -1 (* (pow 4 1/4) (* (/ y x) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (+ (* -1/2 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))) (* (pow 4 1/4) (* (/ (* y (exp (* 1/2 (pow t 2)))) x) (sqrt z)))))) |
(* -1 (* x (+ (* -1/2 (* (pow 4 1/4) (sqrt z))) (* (pow 4 1/4) (* (/ y x) (sqrt z)))))) |
(+ (* -1 y) (* 1/2 x)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))) (* 1/2 (* (pow 4 1/4) (* (/ (* x (exp (* 1/2 (pow t 2)))) y) (sqrt z)))))) |
(* y (+ (* -1 (* (pow 4 1/4) (sqrt z))) (* 1/2 (* (pow 4 1/4) (* (/ x y) (sqrt z)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (* (pow 4 1/4) (* (/ (* x (exp (* 1/2 (pow t 2)))) y) (sqrt z)))) (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))))) |
(* -1 (* y (+ (* -1/2 (* (pow 4 1/4) (* (/ x y) (sqrt z)))) (* (pow 4 1/4) (sqrt z))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* 4 (pow z 2)) |
(* (pow 4 1/4) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) |
(* (sqrt z) (sqrt 2)) |
(* (pow 4 1/4) (sqrt z)) |
(* 2 z) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1))))) |
(* -1 (* (pow 4 1/4) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (pow 4 1/4) (* (sqrt z) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(* -1 (* (pow 4 1/4) (* (sqrt z) (sqrt -1)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))))) |
(+ (* 1/2 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))) |
(+ (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))))))) |
(+ (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* 1/8 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))))))))) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
1/2 |
(+ 1/2 (* 1/8 (pow t 2))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(pow t 2) |
(exp (* 1/2 (pow t 2))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* 1/48 (pow t 4)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* -1 y) |
(neg.f64 y) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* (pow 4 1/4) (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) y) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(+ (* -1 (* (pow 4 1/4) (* (* y (exp (* 1/2 (pow t 2)))) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (* x (exp (* 1/2 (pow t 2)))) (sqrt z))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* -1 (* (pow 4 1/4) (* y (sqrt z)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) y) (sqrt.f64 z)) |
(+ (* -1 (* (pow 4 1/4) (* y (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* x (sqrt z))))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 y x)) (sqrt.f64 z)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z)))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* 1/2 (* (pow 4 1/4) (* (* x (exp (* 1/2 (pow t 2)))) (sqrt z)))) |
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 z) x) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* x (+ (* -1 (* (pow 4 1/4) (* (/ (* y (exp (* 1/2 (pow t 2)))) x) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 y x))))) x) |
(* 1/2 (* (pow 4 1/4) (* x (sqrt z)))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)) (sqrt.f64 z)) |
(* x (+ (* -1 (* (pow 4 1/4) (* (/ y x) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) y) x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 y x)) (sqrt.f64 z)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z)))) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(* -1 (* x (+ (* -1/2 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))) (* (pow 4 1/4) (* (/ (* y (exp (* 1/2 (pow t 2)))) x) (sqrt z)))))) |
(*.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 y x))))) x) |
(* -1 (* x (+ (* -1/2 (* (pow 4 1/4) (sqrt z))) (* (pow 4 1/4) (* (/ y x) (sqrt z)))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (/.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) y) x)))) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) (neg.f64 y)) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) |
(* y (+ (* -1 (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))) (* 1/2 (* (pow 4 1/4) (* (/ (* x (exp (* 1/2 (pow t 2)))) y) (sqrt z)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 x y)) (sqrt.f64 z)) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) (neg.f64 y)) |
(* y (+ (* -1 (* (pow 4 1/4) (sqrt z))) (* 1/2 (* (pow 4 1/4) (* (/ x y) (sqrt z)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) x) y)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* -1 (* y (+ (* -1/2 (* (pow 4 1/4) (* (/ (* x (exp (* 1/2 (pow t 2)))) y) (sqrt z)))) (* (pow 4 1/4) (* (sqrt z) (exp (* 1/2 (pow t 2)))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 x y)) (sqrt.f64 z)) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) (neg.f64 y)) |
(* -1 (* y (+ (* -1/2 (* (pow 4 1/4) (* (/ x y) (sqrt z)))) (* (pow 4 1/4) (sqrt z))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 z) x) y)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z))) (neg.f64 y)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* 4 (pow z 2)) |
(*.f64 (*.f64 z z) #s(literal 4 binary64)) |
(* (pow 4 1/4) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* (pow 4 1/4) (sqrt z)) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) |
(* 2 z) |
(*.f64 #s(literal 2 binary64) z) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1))))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* -1 (* (pow 4 1/4) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* -1 (* (pow 4 1/4) (* (sqrt z) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)))) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (sqrt -2) (sqrt -1)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -2 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 z))) |
(* -1 (* (pow 4 1/4) (* (sqrt z) (sqrt -1)))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (*.f64 (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))) (*.f64 t t) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))))) |
(fma.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 t #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 #s(literal 1/48 binary64) (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t))))) |
(+ (* 1/2 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))) |
(fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) t) t) (sqrt.f64 z)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) |
(+ (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* 1/2 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) t) t) (sqrt.f64 z)) (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) |
(+ (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (pow 4 1/4) (* (* (pow t 2) (- (* 1/2 x) y)) (sqrt z)))) (* 1/8 (* (pow 4 1/4) (* (sqrt z) (- (* 1/2 x) y))))))))) |
(fma.f64 (fma.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (*.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) t) t) (sqrt.f64 z)) (*.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)))) (*.f64 t t))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 z)) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* 1/48 (pow t 2))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 (pow t 2))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(pow t 2) |
(*.f64 t t) |
(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(* 1/48 (pow t 2)) |
(*.f64 #s(literal 1/48 binary64) (*.f64 t t)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64)) t) t) |
(* 1/48 (pow t 4)) |
(*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/48 binary64)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(*.f64 (pow.f64 t #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 t t))) (pow.f64 t #s(literal 4 binary64))) |
(* 1/8 (pow t 4)) |
(*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64)) (pow.f64 t #s(literal 4 binary64))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (pow.f64 t #s(literal 4 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 328 |
| 0 | 76 | 304 |
| 1 | 253 | 301 |
| 2 | 1538 | 301 |
| 0 | 8266 | 301 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 t t) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 2 binary64) z) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
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(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t))))) |
(+.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t)) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t)))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t))) (pow.f64 (-.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/8 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 z z) #s(literal 2 binary64)) #s(literal 1/8 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 z #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 4 binary64) z) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (neg.f64 (*.f64 #s(literal -2 binary64) z)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (*.f64 #s(literal -2 binary64) z)) #s(literal 1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 z #s(literal 1/4 binary64)) (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 z #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (sqrt.f64 z)) |
(*.f64 (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 z) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64)))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) z))) #s(literal 1/2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) (*.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 z z) (*.f64 z z))) (sqrt.f64 (-.f64 z z))) |
(/.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 z z (-.f64 (*.f64 z z) (*.f64 z z))))) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64)))) |
(exp.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)))) |
(exp.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64))) #s(literal 1/8 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 4 binary64))) #s(literal 1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1/2 binary64)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z))))) |
(*.f64 (fabs.f64 (fabs.f64 z)) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 4 binary64) z)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 (neg.f64 (*.f64 #s(literal -2 binary64) z))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -2 binary64) z)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal -2 binary64) z)) (sqrt.f64 (*.f64 #s(literal -2 binary64) z))) |
(*.f64 (hypot.f64 z z) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 4 binary64))) (sqrt.f64 z)) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) |
(*.f64 (fabs.f64 z) #s(literal 2 binary64)) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (hypot.f64 z z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 (*.f64 z #s(literal 4 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(literal 2 binary64) (fabs.f64 (fabs.f64 z))) |
(*.f64 #s(literal 2 binary64) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 #s(literal 2 binary64) (fabs.f64 z)) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
(pow.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 z z) (*.f64 z z))) (neg.f64 (-.f64 z z))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (fma.f64 z z (-.f64 (*.f64 z z) (*.f64 z z))))) |
(/.f64 (fabs.f64 (-.f64 (*.f64 z z) (*.f64 z z))) (fabs.f64 (-.f64 z z))) |
(/.f64 (fabs.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) (fabs.f64 (fma.f64 z z (-.f64 (*.f64 z z) (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 z z) (*.f64 z z)) (-.f64 z z)) |
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 (*.f64 z z) (*.f64 z z)))) |
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) z) #s(literal 2 binary64))) |
(-.f64 (/.f64 (*.f64 z z) (-.f64 z z)) (/.f64 (*.f64 z z) (-.f64 z z))) |
(fabs.f64 (neg.f64 (*.f64 #s(literal -2 binary64) z))) |
(fabs.f64 (*.f64 #s(literal -2 binary64) z)) |
(fabs.f64 (*.f64 #s(literal 2 binary64) z)) |
(exp.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 z) (log.f64 #s(literal 4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) z)) #s(literal 1 binary64))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 (*.f64 z z) (*.f64 z z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z (-.f64 (*.f64 z z) (*.f64 z z))))) |
(+.f64 z z) |
Compiled 32 355 to 3 020 computations (90.7% saved)
37 alts after pruning (34 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 765 | 22 | 787 |
| Fresh | 7 | 12 | 19 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 776 | 37 | 813 |
| Status | Accuracy | Program |
|---|---|---|
| 69.0% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) | |
| 50.4% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) | |
| 92.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (+.f64 z z)))) | |
| 92.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 61.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| ▶ | 95.3% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
| 86.5% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 23.0% | (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 59.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ✓ | 99.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
| 95.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 95.0% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| ✓ | 59.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 59.5% | (*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 29.8% | (*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 29.8% | (*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 59.6% | (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 58.5% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ▶ | 60.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 24.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ▶ | 29.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 56.0% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| 52.7% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 51.2% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 47.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 29.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| ▶ | 92.8% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| 87.2% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 53.2% | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 94.0% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (neg.f64 x)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| ▶ | 52.7% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 47.8% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 51.2% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 61.5% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 51.9% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 80.2% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 59.4% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
Compiled 2 222 to 1 705 computations (23.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (neg.f64 (sqrt.f64 z)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) | |
| cost-diff | 0 | #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) x) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) | |
| cost-diff | 0 | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 570 |
| 0 | 105 | 558 |
| 1 | 191 | 558 |
| 2 | 400 | 558 |
| 3 | 1189 | 558 |
| 4 | 3614 | 558 |
| 5 | 7141 | 558 |
| 0 | 8434 | 558 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
y |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/48 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(*.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 z)) y) |
(neg.f64 (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 x #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
x |
y |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
(*.f64 t t) |
t |
#s(literal 1/48 binary64) |
#s(literal 1/8 binary64) |
#s(literal 1 binary64) |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
z |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 z)) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
y |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(-.f64 #s(literal 1/2 binary64) (/.f64 y x)) |
#s(literal 1/2 binary64) |
(/.f64 y x) |
y |
x |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 z #s(literal 2 binary64)) |
z |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(literal 1/8 binary64) |
(*.f64 t t) |
t |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
(*.f64 x #s(literal 1/2 binary64)) |
x |
y |
(sqrt.f64 (*.f64 #s(literal 2 binary64) z)) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(*.f64 #s(literal 2 binary64) z) |
(*.f64 z #s(literal 2 binary64)) |
#s(literal 2 binary64) |
z |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (neg.f64 (sqrt.f64 z))) |
(*.f64 (neg.f64 (sqrt.f64 z)) y) |
(*.f64 (sqrt.f64 z) (neg.f64 y)) |
(neg.f64 (sqrt.f64 z)) |
(sqrt.f64 z) |
z |
y |
(sqrt.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
#s(literal 1/48 binary64) |
(*.f64 t t) |
t |
#s(literal 1/8 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20703125 | (*.f64 (neg.f64 (sqrt.f64 z)) y) | |
| accuracy | 0.37728500976844204 | (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 5.198571931707084 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) | |
| accuracy | 33.38098754754802 | #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) | |
| accuracy | 0.07421875 | (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) | |
| accuracy | 0.12109375 | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| accuracy | 8.008491825513648 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) | |
| accuracy | 0.0 | #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) | |
| accuracy | 0.19921875 | (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) | |
| accuracy | 6.392357211498172 | (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) | |
| accuracy | 29.39032529367276 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 0.19921875 | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) | |
| accuracy | 0.4375 | (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) | |
| accuracy | 29.39032529367276 | #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) | |
| accuracy | 33.73791051328177 | #s(approx (- (* x 1/2) y) (neg.f64 y)) | |
| accuracy | 0.033535009768442016 | (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) | |
| accuracy | 0.09375 | (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) | |
| accuracy | 0.125 | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| accuracy | 5.198571931707084 | #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
| 139.0ms | 256× | 0 | valid |
Compiled 407 to 56 computations (86.2% saved)
ival-mult: 43.0ms (54.2% of total)ival-add: 10.0ms (12.6% of total)ival-sqrt: 7.0ms (8.8% of total)ival-div: 4.0ms (5% of total)ival-sub: 4.0ms (5% of total)const: 4.0ms (5% of total)ival-exp: 2.0ms (2.5% of total)ival-neg: 2.0ms (2.5% of total)ival-true: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 z)) y) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 (* y (exp (* 1/2 (pow t 2))))) |
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* x (exp (* 1/2 (pow t 2))))) |
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) |
(* -1 (* y (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))))) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
1/2 |
(+ 1/2 (* 1/8 (pow t 2))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)) |
(exp (* 1/2 (pow t 2))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* 1/48 (pow t 4)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | x | @ | -inf | ((* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (- (* 1/2 x) y) (* 1/2 x) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (- 1/2 (/ y x)) x) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (* (sqrt z) (sqrt 2)) (exp (/ (* t t) 2))) |
| 6.0ms | z | @ | -inf | ((* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (- (* 1/2 x) y) (* 1/2 x) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (- 1/2 (/ y x)) x) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (* (sqrt z) (sqrt 2)) (exp (/ (* t t) 2))) |
| 3.0ms | z | @ | inf | ((* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (- (* 1/2 x) y) (* 1/2 x) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (- 1/2 (/ y x)) x) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (* (sqrt z) (sqrt 2)) (exp (/ (* t t) 2))) |
| 3.0ms | z | @ | 0 | ((* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (- (* 1/2 x) y) (* 1/2 x) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (- 1/2 (/ y x)) x) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (* (sqrt z) (sqrt 2)) (exp (/ (* t t) 2))) |
| 3.0ms | y | @ | inf | ((* (- (* 1/2 x) y) (* (exp (/ (* t t) 2)) (sqrt (* 2 z)))) (- (* 1/2 x) y) (* 1/2 x) (* (exp (/ (* t t) 2)) (sqrt (* 2 z))) (* (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (- (* x 1/2) y) (neg y) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (- (* x 1/2) y) (* (- 1/2 (/ y x)) x) (* (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (sqrt (* 2 z))) (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (exp (/ (* t t) 2)) (+ (* (+ (* 1/8 (* t t)) 1/2) (* t t)) 1) (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (* (- (* x 1/2) y) (sqrt (* z 2))) (* (* (neg (sqrt z)) y) (sqrt 2)) (* (neg (sqrt z)) y) (exp (/ (* t t) 2)) (+ (* (* t t) 1/48) 1/8) (+ (* (+ (* (* t t) 1/48) 1/8) (* t t)) 1/2) (exp (/ (* t t) 2)) (* (sqrt z) (sqrt 2)) (exp (/ (* t t) 2))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 1171 |
| 1 | 859 | 1112 |
| 2 | 3445 | 974 |
| 0 | 8063 | 929 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(* -1 y) |
(- (* 1/2 x) y) |
(* 1/2 x) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(+ (* -1 y) (* 1/2 x)) |
(* -1 (* y (exp (* 1/2 (pow t 2))))) |
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2)))))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(* 1/2 (* x (exp (* 1/2 (pow t 2))))) |
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2)))))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(* -1 (* x (- (/ y x) 1/2))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) |
(* -1 (* y (sqrt z))) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(* y (- (* 1/2 (/ x y)) 1)) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(* (sqrt z) (sqrt 2)) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1))))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))))) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y) |
1 |
(+ 1 (* 1/2 (pow t 2))) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
1/8 |
(+ 1/8 (* 1/48 (pow t 2))) |
1/2 |
(+ 1/2 (* 1/8 (pow t 2))) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)) |
(exp (* 1/2 (pow t 2))) |
(* 1/8 (pow t 4)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(* 1/48 (pow t 2)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* 1/48 (pow t 4)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
| Outputs |
|---|
(* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(+ (* -1 (* (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) (* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* -1 y) |
(neg.f64 y) |
(- (* 1/2 x) y) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* 1/2 x) |
(*.f64 #s(literal 1/2 binary64) x) |
(* -1 (* (* y (sqrt 2)) (sqrt z))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y)) |
(+ (* -1 (* (* y (sqrt 2)) (sqrt z))) (* 1/2 (* (* x (sqrt 2)) (sqrt z)))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* -1 y) (* 1/2 x)) |
(fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) |
(* -1 (* y (exp (* 1/2 (pow t 2))))) |
(*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(+ (* -1 (* y (exp (* 1/2 (pow t 2))))) (* 1/2 (* x (exp (* 1/2 (pow t 2)))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* 1/2 (* (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t)))) |
(* x (+ (* -1 (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))) (* 1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) x) |
(* x (+ 1/2 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(* 1/2 (* (* x (sqrt 2)) (sqrt z))) |
(*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) |
(* x (+ (* -1 (* (/ (* y (sqrt 2)) x) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)))) |
(* 1/2 (* x (exp (* 1/2 (pow t 2))))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* x (+ (* -1 (/ (* y (exp (* 1/2 (pow t 2)))) x)) (* 1/2 (exp (* 1/2 (pow t 2)))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (+.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* (/ (* y (* (exp (* 1/2 (pow t 2))) (sqrt 2))) x) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) #s(literal 1/2 binary64) (*.f64 (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) x)))) x) |
(* -1 (* x (- (/ y x) 1/2))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y x) #s(literal 1/2 binary64))) |
(* -1 (* x (+ (* -1/2 (* (sqrt z) (sqrt 2))) (* (/ (* y (sqrt 2)) x) (sqrt z))))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x)))) |
(* -1 (* x (+ (* -1/2 (exp (* 1/2 (pow t 2)))) (/ (* y (exp (* 1/2 (pow t 2)))) x)))) |
(*.f64 (neg.f64 x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (+.f64 #s(literal -1/2 binary64) (/.f64 y x)))) |
(* -1 (* y (sqrt z))) |
(*.f64 (neg.f64 y) (sqrt.f64 z)) |
(* y (+ (* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))) (* 1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) (neg.f64 y)) |
(* y (- (* 1/2 (/ x y)) 1)) |
(*.f64 (-.f64 (*.f64 (/.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) y) |
(* y (+ (* -1 (* (sqrt z) (sqrt 2))) (* 1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* y (+ (* -1 (exp (* 1/2 (pow t 2)))) (* 1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 x y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)))) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (* (exp (* 1/2 (pow t 2))) (sqrt 2))) y) (sqrt z))) (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2)))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1/2 (/ x y))))) |
(*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y) |
(* -1 (* y (+ (* -1/2 (* (/ (* x (sqrt 2)) y) (sqrt z))) (* (sqrt z) (sqrt 2))))) |
(*.f64 (*.f64 (sqrt.f64 z) (fma.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x) y) #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 y)) |
(* -1 (* y (+ (exp (* 1/2 (pow t 2))) (* -1/2 (/ (* x (exp (* 1/2 (pow t 2)))) y))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 x y)) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)))) y) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* (sqrt z) (* (exp (* 1/2 (pow t 2))) (sqrt 2))) |
(*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(* (sqrt z) (sqrt 2)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y)))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 (pow.f64 (exp.f64 t) t))) (sqrt.f64 #s(literal -2 binary64))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (sqrt -2) (sqrt -1))))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64)))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* -1 (* (sqrt z) (* (exp (* 1/2 (pow t 2))) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y)))))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (* (sqrt 2) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 z))) |
(* -1 (* (sqrt z) (* (sqrt -2) (* (sqrt -1) (- (* 1/2 x) y))))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 z)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 #s(literal -1/2 binary64) x y)) |
(* (* y (* (pow (sqrt -1) 2) (sqrt 2))) (sqrt z)) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 z) y)) |
(* (* y (pow (sqrt -1) 2)) (sqrt z)) |
(*.f64 (neg.f64 y) (sqrt.f64 z)) |
(* -1 (* (sqrt z) (* (pow (sqrt -1) 2) (sqrt 2)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(+ (* 1/2 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z))) |
(+ (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y)))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (* (sqrt 2) (- (* 1/2 x) y))) (sqrt z))) (* 1/8 (* (sqrt z) (* (sqrt 2) (- (* 1/2 x) y))))))))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t)) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (*.f64 t t) (*.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 z))) |
(+ (* 1/2 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* (sqrt z) (sqrt 2))) |
(*.f64 (sqrt.f64 z) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (*.f64 t t) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/8 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/2 (* (sqrt z) (sqrt 2)))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(+ (* (sqrt z) (sqrt 2)) (* (pow t 2) (+ (* 1/2 (* (sqrt z) (sqrt 2))) (* (pow t 2) (+ (* 1/48 (* (* (pow t 2) (sqrt 2)) (sqrt z))) (* 1/8 (* (sqrt z) (sqrt 2)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) t) t) (sqrt.f64 z)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)))) (*.f64 t t) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
(- (+ (* 1/2 x) (* 1/2 (* (pow t 2) (- (* 1/2 x) y)))) y) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 t t) x) #s(literal 1/2 binary64) (neg.f64 y)) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/8 (* (pow t 2) (- (* 1/2 x) y))) (* 1/2 (- (* 1/2 x) y))))) y) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) y)) |
(- (+ (* 1/2 x) (* (pow t 2) (+ (* 1/2 (- (* 1/2 x) y)) (* (pow t 2) (+ (* 1/48 (* (pow t 2) (- (* 1/2 x) y))) (* 1/8 (- (* 1/2 x) y))))))) y) |
(-.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (*.f64 t t) x) #s(literal 1/2 binary64) (*.f64 (pow.f64 t #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64))))) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (pow t 2))) |
(fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* 1/8 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(+ 1 (* (pow t 2) (+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
(+ 1/8 (* 1/48 (pow t 2))) |
(fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/8 (pow t 2))) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) |
(+ 1/2 (* (pow t 2) (+ 1/8 (* 1/48 (pow t 2))))) |
(fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
(* (exp (* 1/2 (pow t 2))) (- (* 1/2 x) y)) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 (pow.f64 (exp.f64 t) t))) |
(exp (* 1/2 (pow t 2))) |
(sqrt.f64 (pow.f64 (exp.f64 t) t)) |
(* 1/8 (pow t 4)) |
(*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/8 binary64)) |
(* (pow t 4) (+ 1/8 (* 1/2 (/ 1 (pow t 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 t t)) #s(literal 1/8 binary64)) (pow.f64 t #s(literal 4 binary64))) |
(* (pow t 4) (+ 1/8 (+ (* 1/2 (/ 1 (pow t 2))) (/ 1 (pow t 4))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 t #s(literal 4 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 t t))) (pow.f64 t #s(literal 4 binary64))) |
(* 1/48 (pow t 2)) |
(*.f64 #s(literal 1/48 binary64) (*.f64 t t)) |
(* (pow t 2) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64)) t) t) |
(* 1/48 (pow t 4)) |
(*.f64 (pow.f64 t #s(literal 4 binary64)) #s(literal 1/48 binary64)) |
(* (pow t 4) (+ 1/48 (* 1/8 (/ 1 (pow t 2))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 t t)) #s(literal 1/48 binary64)) (pow.f64 t #s(literal 4 binary64))) |
(* (pow t 4) (+ 1/48 (+ (/ 1/2 (pow t 4)) (* 1/8 (/ 1 (pow t 2)))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 t #s(literal 4 binary64))) #s(literal 1/48 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 t t))) (pow.f64 t #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 415 |
| 0 | 105 | 401 |
| 1 | 339 | 401 |
| 2 | 1519 | 401 |
| 0 | 8188 | 401 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) x) y) |
(*.f64 #s(literal 1/2 binary64) x) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
#s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) |
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
#s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) |
(*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 z)) y) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
(fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) |
(fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) |
(*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)))) (neg.f64 (fma.f64 x #s(literal 1/2 binary64) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (fma.f64 x #s(literal 1/2 binary64) y)))) |
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y))) (fma.f64 x #s(literal 1/2 binary64) y)) |
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(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) (*.f64 t #s(literal 1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (-.f64 (fma.f64 (pow.f64 t #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) (*.f64 t #s(literal 1/2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t)) |
#s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 z)) |
(*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 z z))) (sqrt.f64 (-.f64 z z))) |
(/.f64 (hypot.f64 (pow.f64 z #s(literal 3/2 binary64)) (pow.f64 z #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 z z (*.f64 (*.f64 z #s(literal 2 binary64)) (-.f64 z z))))) |
(sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log.f64 z) #s(literal 1/2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 1/2 binary64) (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 z #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
#s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) |
Compiled 15 596 to 1 692 computations (89.2% saved)
38 alts after pruning (31 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 310 | 11 | 321 |
| Fresh | 9 | 20 | 29 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 320 | 38 | 358 |
| Status | Accuracy | Program |
|---|---|---|
| 69.0% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) | |
| 50.4% | (/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) | |
| 92.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (+.f64 z z)))) | |
| 92.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 61.8% | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 95.3% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 95.3% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 95.3% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 86.5% | (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 23.0% | (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 59.5% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ✓ | 99.8% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
| ✓ | 59.7% | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 29.8% | (*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 29.8% | (*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 59.6% | (*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 58.5% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ✓ | 60.6% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 24.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| ✓ | 29.8% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| 56.0% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) | |
| 51.2% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 47.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| ✓ | 29.9% | (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| ✓ | 92.8% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
| 87.2% | (*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) | |
| 53.2% | (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 55.0% | (*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) | |
| 32.2% | (*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 59.4% | (*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 94.0% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (neg.f64 x)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) | |
| ✓ | 52.7% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| 47.8% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 51.2% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 61.5% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) | |
| 51.9% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) | |
| 59.4% | (*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) | |
| 92.4% | (*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
Compiled 3 287 to 1 224 computations (62.8% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (+.f64 z z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) #s(approx (+ (* -1/2 (sqrt 2)) (/ (* (sqrt 2) y) x)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (fma.f64 #s(literal 1/2 binary64) x y)) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64)) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) z)) (/.f64 y x)) (neg.f64 x)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 x #s(literal 1/2 binary64) y)) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (*.f64 y y))) (*.f64 (fma.f64 x #s(literal 1/2 binary64) y) (fma.f64 x #s(literal 1/2 binary64) y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) x y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) (*.f64 y y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) x y) (fma.f64 #s(literal 1/2 binary64) x y))) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 (sqrt.f64 (pow.f64 (exp.f64 t) t)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) y)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (pow.f64 (exp.f64 t) t))))) y)) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
13 calls:
| 66.0ms | t |
| 54.0ms | y |
| 20.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 19.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 19.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | (*.f64 t t) |
| 99.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 99.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 99.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 99.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 99.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 99.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 99.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 99.8% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 99.8% | 1 | x |
| 99.8% | 1 | y |
| 99.8% | 1 | z |
| 99.8% | 1 | t |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (+.f64 z z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/48 binary64) t) t #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (neg.f64 x) (*.f64 (sqrt.f64 z) (fma.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/2 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x))))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (sqrt.f64 (*.f64 z #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) y) x) (sqrt.f64 z))))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 t) t) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (pow.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) z) (*.f64 #s(literal 2 binary64) z)) #s(literal 1/4 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
13 calls:
| 44.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 38.0ms | (*.f64 t t) |
| 34.0ms | y |
| 19.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 16.0ms | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | (*.f64 t t) |
| 95.3% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 95.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 95.3% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 95.3% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 95.3% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 95.3% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 95.3% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 95.3% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 95.3% | 1 | x |
| 95.3% | 1 | y |
| 95.3% | 1 | z |
| 95.3% | 1 | t |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (+.f64 z z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
13 calls:
| 14.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 13.0ms | y |
| 13.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 12.0ms | x |
| 12.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.3% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 95.3% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 95.3% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 95.3% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 95.3% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 95.3% | 1 | x |
| 95.3% | 1 | (*.f64 t t) |
| 95.3% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 95.3% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 95.3% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 95.3% | 1 | y |
| 95.3% | 1 | z |
| 95.3% | 1 | t |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (+.f64 z z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
13 calls:
| 66.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 28.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 24.0ms | y |
| 17.0ms | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 13.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.0% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 95.0% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 95.0% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 95.0% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 95.0% | 1 | (*.f64 t t) |
| 95.0% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 95.0% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 95.0% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 95.0% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 95.0% | 1 | x |
| 95.0% | 1 | y |
| 95.0% | 1 | z |
| 95.0% | 1 | t |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (+.f64 z z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) t) t #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (neg.f64 x) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (/.f64 y x) #s(literal -1/2 binary64))) (sqrt.f64 z)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* 1/2 x) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 (*.f64 t t) #s(literal 1/48 binary64) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 y (neg.f64 y))) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 x #s(literal 1/2 binary64) y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/4 binary64) (*.f64 (neg.f64 y) y)) (*.f64 #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) (fma.f64 #s(literal 1/2 binary64) x y)) |
(*.f64 #s(approx (* (exp (/ (* t t) 2)) (- (* x 1/2) y)) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x y) (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64))) (*.f64 t t) y))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 37.0ms | t |
| 12.0ms | y |
| 12.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 11.0ms | (*.f64 z #s(literal 2 binary64)) |
| 11.0ms | (*.f64 t t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 92.8% | 1 | (*.f64 t t) |
| 92.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 92.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 92.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 92.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 92.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 92.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 92.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 92.8% | 1 | x |
| 92.8% | 1 | y |
| 92.8% | 1 | z |
| 92.8% | 1 | t |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (+.f64 z z)))) |
#s(approx (* (* (- (* x 1/2) y) (sqrt (* z 2))) (exp (/ (* t t) 2))) (*.f64 (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (+.f64 z z)))) |
13 calls:
| 23.0ms | (*.f64 t t) |
| 10.0ms | y |
| 8.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 7.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 6.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 1 | (*.f64 t t) |
| 92.8% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 92.8% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 92.8% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 92.8% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 92.8% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 92.8% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 92.8% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 92.8% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 92.8% | 1 | x |
| 92.8% | 1 | y |
| 92.8% | 1 | z |
| 92.8% | 1 | t |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 y x)) x)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (*.f64 (fma.f64 (/.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 (neg.f64 (sqrt.f64 z)) y) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
13 calls:
| 33.0ms | (*.f64 t t) |
| 11.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 6.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 6.0ms | x |
| 6.0ms | (*.f64 z #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 87.2% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 87.2% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 87.2% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 87.2% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 87.2% | 1 | x |
| 87.2% | 1 | z |
| 87.2% | 1 | (*.f64 t t) |
| 87.2% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 87.2% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 87.2% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 87.2% | 1 | y |
| 87.2% | 1 | t |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (* (sqrt z) (sqrt 2))) (*.f64 (*.f64 x (*.f64 (sqrt.f64 z) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64)))) |
13 calls:
| 27.0ms | t |
| 4.0ms | x |
| 4.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 4.0ms | (*.f64 z #s(literal 2 binary64)) |
| 4.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.7% | 2 | (*.f64 t t) |
| 75.7% | 2 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 75.7% | 2 | t |
| 59.7% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 59.7% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 66.8% | 3 | y |
| 59.7% | 1 | z |
| 74.3% | 2 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 67.2% | 3 | (*.f64 x #s(literal 1/2 binary64)) |
| 61.3% | 2 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 59.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 70.5% | 3 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 67.2% | 3 | x |
Compiled 60 to 88 computations (-46.7% saved)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 #s(approx (* (- (* x 1/2) y) (sqrt (* z 2))) (*.f64 (*.f64 y (neg.f64 (sqrt.f64 z))) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (*.f64 (sqrt.f64 z) (sqrt.f64 #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 z)) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (sqrt.f64 z) #s(approx (- (* x 1/2) y) (neg.f64 y))) (sqrt.f64 #s(literal 2 binary64))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
10 calls:
| 16.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 2.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 2.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 2.0ms | x |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.7% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 59.7% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 59.7% | 1 | y |
| 59.7% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 59.7% | 1 | x |
| 59.7% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 59.7% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 59.7% | 1 | (*.f64 t t) |
| 59.7% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 59.7% | 1 | t |
Compiled 52 to 71 computations (-36.5% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
13 calls:
| 1.0ms | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 1.0ms | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 1.0ms | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 1.0ms | (*.f64 x #s(literal 1/2 binary64)) |
| 1.0ms | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.9% | 1 | (*.f64 t t) |
| 29.9% | 1 | (/.f64 (*.f64 t t) #s(literal 2 binary64)) |
| 29.9% | 1 | (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64)))) |
| 29.9% | 1 | (*.f64 z #s(literal 2 binary64)) |
| 29.9% | 1 | (sqrt.f64 (*.f64 z #s(literal 2 binary64))) |
| 29.9% | 1 | (*.f64 x #s(literal 1/2 binary64)) |
| 29.9% | 1 | x |
| 29.9% | 1 | z |
| 29.9% | 1 | t |
| 29.9% | 1 | (exp.f64 (/.f64 (*.f64 t t) #s(literal 2 binary64))) |
| 29.9% | 1 | (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) |
| 29.9% | 1 | (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) |
| 29.9% | 1 | y |
Compiled 60 to 88 computations (-46.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 2.7655678376830103e+74 | 4.546930106857863e+74 |
| 9.0ms | 64× | 0 | valid |
Compiled 204 to 194 computations (4.9% saved)
ival-sqrt: 4.0ms (53% of total)ival-mult: 2.0ms (26.5% of total)ival-sub: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-exp: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 296 |
| 1 | 101 | 296 |
| 2 | 159 | 296 |
| 3 | 327 | 296 |
| 4 | 612 | 296 |
| 5 | 2120 | 296 |
| 6 | 5479 | 296 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (+.f64 z z)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(if (<=.f64 t #s(literal 280000000000000001526536837975851987284443669946836793113832162051902930944 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) (exp.f64 (*.f64 (*.f64 t t) #s(literal 1/2 binary64)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 t t) #s(literal 1/8 binary64)) t) t #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* (* t t) 1/48) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) z)))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(approx (+ (* 1/48 (* t t)) 1/8) (*.f64 #s(literal 1/48 binary64) (*.f64 t t))) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (-.f64 (*.f64 x #s(literal 1/2 binary64)) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 t t) #s(literal 1/2 binary64)) (*.f64 t t) #s(literal 1 binary64))) (sqrt.f64 (+.f64 z z)))) |
(*.f64 (*.f64 #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) x) y)) (sqrt.f64 (*.f64 #s(literal 2 binary64) z))) |
(if (<=.f64 t #s(literal 280000000000000001526536837975851987284443669946836793113832162051902930944 binary64)) (*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) (*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) (fma.f64 (*.f64 t t) #s(literal 1/2 binary64) #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) y) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(approx (- (* x 1/2) y) (neg.f64 y)) (sqrt.f64 (*.f64 z #s(literal 2 binary64)))) #s(approx (exp (/ (* t t) 2)) #s(literal 1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 272 | 1486 |
| 1 | 1026 | 1467 |
| 2 | 4167 | 1327 |
| 0 | 8814 | 1292 |
| 0 | 15 | 47 |
| 0 | 24 | 45 |
| 1 | 65 | 44 |
| 2 | 309 | 44 |
| 0 | 2713 | 44 |
| 0 | 60 | 415 |
| 0 | 105 | 401 |
| 1 | 339 | 401 |
| 2 | 1519 | 401 |
| 0 | 8188 | 401 |
| 0 | 194 | 939 |
| 1 | 726 | 887 |
| 2 | 2928 | 753 |
| 3 | 7573 | 753 |
| 0 | 9130 | 729 |
| 0 | 49 | 286 |
| 0 | 82 | 280 |
| 1 | 211 | 266 |
| 2 | 1156 | 262 |
| 0 | 8563 | 262 |
| 0 | 45 | 328 |
| 0 | 76 | 304 |
| 1 | 253 | 301 |
| 2 | 1538 | 301 |
| 0 | 8266 | 301 |
| 0 | 230 | 1171 |
| 1 | 859 | 1112 |
| 2 | 3445 | 974 |
| 0 | 8063 | 929 |
| 0 | 136 | 657 |
| 1 | 508 | 641 |
| 2 | 2030 | 527 |
| 3 | 6618 | 527 |
| 0 | 8088 | 510 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 070 to 482 computations (55% saved)
(abs t)
Compiled 752 to 266 computations (64.6% saved)
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